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Simplifying -2.1(0.3b + 2.4) + 1.7(2.1 + -1.3b) = 7.05 Reorder the terms: -2.1(2.4 + 0.3b) + 1.7(2.1 + -1.3b) = 7.05 (2.4 * -2.1 + 0.3b * -2.1) + 1.7(2.1 + -1.3b) = 7.05 (-5.04 + -0.63b) + 1.7(2.1 + -1.3b) = 7.05 -5.04 + -0.63b + (2.1 * 1.7 + -1.3b * 1.7) = 7.05 -5.04 + -0.63b + (3.57 + -2.21b) = 7.05 Reorder the terms: -5.04 + 3.57 + -0.63b + -2.21b = 7.05 Combine like terms: -5.04 + 3.57 = -1.47 -1.47 + -0.63b + -2.21b = 7.05 Combine like terms: -0.63b + -2.21b = -2.84b -1.47 + -2.84b = 7.05 Solving -1.47 + -2.84b = 7.05 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1.47' to each side of the equation. -1.47 + 1.47 + -2.84b = 7.05 + 1.47 Combine like terms: -1.47 + 1.47 = 0.00 0.00 + -2.84b = 7.05 + 1.47 -2.84b = 7.05 + 1.47 Combine like terms: 7.05 + 1.47 = 8.52 -2.84b = 8.52 Divide each side by '-2.84'. b = -3 Simplifying b = -3
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